ECE 4700 Midterm: ECE4700 Wayne State Exam SolutionsW2002FS

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Mwf11 anand patel: start by writing your name in the above box and check your section in the box to the left, try to answer each question on the same page as the question is asked. If needed, use the back or the next empty page for work. If you need additional paper, write your name on it: do not detach pages from this exam packet or un- staple the packet, please write neatly and except for problems 1-3, give details. Answers which are illegible for the grader can not be given credit: no notes, books, calculators, computers, or other electronic aids can be allowed, you have 90 minutes time to complete your work. A 4 4 matrix whose entries are all 4 has determinant 44. The determinant is zero because the matrix has identitcal rows. It is an orthogonal projection, not an orthogonal transformation. Every 2 2 matrix is diagonalizable over the complex numbers.

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